Sometimes I have to support Warp 3 on Microchannel for clients. I've used that network many times -- it's a good choice. To get it to work, you need to remember that Microchannel machines need to know about the cards you plug in. You'll need to have a reference diskette. You should be able to access the system programs at boot -- on a later machine like yours, the system programs should be on the hard drive. If you don't have a reference diskette, google for it. PS/2 fans have posted the reference diskettes for download.
Now to add the device driver, you'll need to make sure you have installed Warp 3 Connect. If you didn't, go get a copy of Warp 3 Connect and install that instead of Warp 3. It will detect your network card, and install drivers for it. Once you're running, you'll have a full suite of TCP/IP programs that are pretty old, but work. Don't fool around with the plain Warp 3, it's not worth it because it has no support for network cards. Warp 3 Connect would be perfect for your chosen hardware.
Of course, you could also run eComStation on a modern computer, but that doesn't sound like what you want to do.